1. Find the range of the following sets of data:

a. 8, 10, 12, 15, 20, 21

b. 1.2, 3.4, 7.6, 8.9, 10.3

c. 4, 7, 2, 5, 1, 9, 10

d. $2.35, $8.79, $1.20, $10.60, $1.03, $12.39

e. 0.45 m, 123 cm, 52 cm, 1.56 m 1250 mm, 2.3 m, 1040 mm

2. For each of the follwoing sets of data find:

(i) the median
(ii) the lower quartile
(iii) the upper quartile
(iv) the interquartile range

a. 3, 4, 5, 7, 8, 10, 12, 15, 20, 21, 25

b. 1, 2, 4, 6, 6, 7, 8, 12, 15, 26

c. 3.4, 5.6, 1.2, 5.6, 2.1, 7.8, 10.2

d. 5, 7, 2, 4, 1, 8, 0, 4

e. 54, 24, 65, 34, 12, 87, 98, 45, 32, 81, 45, 12, 36

3. The following two sets of information list the average annual rainfall in seven New Zealand centres in the North Island and the South Island.

a. Find the median, quartiles, range and interquartile range for each set of data.

b. Use your result to find which Island has the greatest spread of rainfall averages?

North Island

Rainfall (mm)
South Island
Rainfall (mm)
Kaitaia
1320
Nelson
970
Auckland
1105
Blenheim
650
Hamilton
1180
Hokitika
2810
Napier
815
Christchurch
645
New Plymouth
1455
Milford Sound
6590
Palmerston North
960
Dunedin
800
Wellington
1270
Invercargill
1085